Minimax inequalities for set-valued mappings |
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| Authors: | Y Zhang S J Li M H Li |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China
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| Abstract: | In this paper, by using the finite intersection property, we first obtain two types of minimax inequalities for set-valued mappings, which improve and generalize the corresponding results in Ferro (J Optim Theory Appl 60:19?C31, 1989) and Li et?al. (J Math Anal Appl 281:707?C723, 2003). Then, by using the Ky Fan lemma and the Kakutani?CFan?CGlicksberg fixed point theorem, we also investigate some Ky Fan minimx inequalities for set-valued mappings. |
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